Intermittency generating 1/f noise

We analyze a mechanism of intermittency in nonlinear dynamical systems having the invariant subspace and zero transverse Lyapunov exponent. Our model is similar to the on-off intermittency, occurring due the time-dependent forcing of a bifurcation parameter through a bifurcation point but with nonzero transverse Lyapunov exponent. We show that our nonlinear dynamical systems exhibit 1/f^β noise of the deviation from the invariant subspace. Further, the approximation of the intermittency generating maps by the nonlinear stochastic differential equations is presented and the connection with the equations modeling 1/f^β noise is established.